Model theory and Kaehler geometry

Details Model theory and Kaehler geometry Model theory and Kaehler geometry

2007-02-15

arxiv.org/abs/math/0702468v1

Mathematics

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Scientific paper

We survey and explain some recent work at the intersection of model theory and bimeromorphic geometry (classification of compact complex manifolds). Included here are the essential saturation of the many sorted structure $\mathcal{C}$ of compact Kaehler manifolds, the conjectural role of hyperkaehler manifolds in the description of strongly minimal sets in $\mathcal{C}$ and Campana's work on the isotriviality of hyperkaehler families and its connection with the nonmultidimensionality conjecture.

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